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Finding the Third Proportional to 301,608 and 442,261.50

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Solution

The third proportional to 301,608 and 442,261.50 is: 648,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,608 : 442,261.50 = 442,261.50 : x
  2. Step 2: Convert to fraction form
    301,608/442,261.50 = 442,261.50/x
  3. Step 3: Cross multiply
    301,608x = 442,261.50 × 442,261.50
  4. Step 4: Simplify right side
    301,608x = 195,595,234,382.25
  5. Step 5: Solve for x
    x = 195,595,234,382.25/301,608
  6. Step 6: Final answer
    x = 648,508.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.